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2100400080 = 24358751667
BaseRepresentation
bin111110100110001…
…1000111111010000
312102101021101020120
41331030120333100
513300200300310
6544230510240
7103023051252
oct17514307720
95371241216
102100400080
11988691739
124a7505380
132761cacac
1415cd51cd2
15c45e5b70
hex7d318fd0

2100400080 has 40 divisors (see below), whose sum is σ = 6511240992. Its totient is φ = 560106624.

The previous prime is 2100400079. The next prime is 2100400109. The reversal of 2100400080 is 800040012.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4375594 + ... + 4376073.

Almost surely, 22100400080 is an apocalyptic number.

2100400080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100400080 is an abundant number, since it is smaller than the sum of its proper divisors (4410840912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100400080 is a wasteful number, since it uses less digits than its factorization.

2100400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751683 (or 8751677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2100400080 is about 45830.1219723448. The cubic root of 2100400080 is about 1280.6604826986.

Adding to 2100400080 its reverse (800040012), we get a palindrome (2900440092).

The spelling of 2100400080 in words is "two billion, one hundred million, four hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8751667 17503334 26255001 35006668 43758335 52510002 70013336 87516670 105020004 131275005 140026672 175033340 210040008 262550010 350066680 420080016 525100020 700133360 1050200040 2100400080